Let X ~ Bin(n, p), and let Y = n ? X. Show that Y ~ Bin(n,

Chapter 4, Problem 22E

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QUESTION:

Let X ∼ Bin(n, p), and let Y = n − X. Show that Y ∼ Bin(n, 1 − p).

Questions & Answers

QUESTION:

Let X ∼ Bin(n, p), and let Y = n − X. Show that Y ∼ Bin(n, 1 − p).

ANSWER:

Solution 22E

Step1 of 2:

We have random variable X and it follows binomial distribution with parameters “n and p”.

That is X B(n, p)

Also we have Y = n - X.

We need to show that Y B(n, 1 - p)


Step2 of 2:

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